7х²-96х-28=0 треба розкласти на множники. Created by margo2005490. algebra-ru

7х²-96х-28=0 треба розкласти на множники...

margo2005490 @margo2005490

July 2022 2 14 Report

7х²-96х-28=0 треба розкласти на множники

vseznaika0595

ax²+bx+c=a(x-x₁)(x-x₂)

7х²-96х-28=0

D=(-96)^2-4·7·(-28)=9216+784=10 000

√D=100

x₁=(96-100)/14=-2/7;-x₂=(96+100)/14=14

7х²-96х-28=7(x-(-2/7))(x-14)

7х²-96х-28=(7x+2)(x-14)

2 votes Thanks 3

nafanya2014

Verified answer

$7 {x}^{2} - 96x - 28 = 0 \\ d =9216 - 4 \times 7 \times ( - 28) = 9216 +724 = 10000 = {100}^{2} \\ x1 = \frac{96 + 100}{2 \times 7} = \frac{196}{14} = 14 \\ x2 = \frac{96 - 100}{2 \times 7} = \frac{ - 34}{17} = - 2$

1 votes Thanks 0

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